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Finding the Fourth Proportional to 7,293.76, 10,940.50 and 2,099.60

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Solution

The fourth proportional to 7,293.76, 10,940.50 and 2,099.60 is: 3,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.76 : 10,940.50 = 2,099.60 : x
  2. Step 2: Convert to fraction form
    7,293.76/10,940.50 = 2,099.60/x
  3. Step 3: Cross multiply
    7,293.76x = 10,940.50 × 2,099.60
  4. Step 4: Simplify right side
    7,293.76x = 22,970,673.80
  5. Step 5: Solve for x
    x = 22,970,673.80/7,293.76
  6. Step 6: Final answer
    x = 3,149.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.